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Mathematical Statistics 2nd edition by Peter Bickel, Kjell Doksum ISBN 1498723802 978-1498723800

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ISBN 10: 1498723802
ISBN 13: 978-1498723800
Author: Peter Bickel, Kjell Doksum

Mathematical Statistics: Basic Ideas and Selected Topics, Volume I, Second Edition presents fundamental, classical statistical concepts at the doctorate level. It covers estimation, prediction, testing, confidence sets, Bayesian analysis, and the general approach of decision theory. This edition gives careful proofs of major results and explains how the theory sheds light on the properties of practical methods.

 

The book first discusses non- and semiparametric models before covering parameters and parametric models. It then offers a detailed treatment of maximum likelihood estimates (MLEs) and examines the theory of testing and confidence regions, including optimality theory for estimation and elementary robustness considerations. It next presents basic asymptotic approximations with one-dimensional parameter models as examples. The book also describes inference in multivariate (multiparameter) models, exploring asymptotic normality and optimality of MLEs, Wald and Rao statistics, generalized linear models, and more.

 

Mathematical Statistics: Basic Ideas and Selected Topics, Volume II will be published in 2015. It will present important statistical concepts, methods, and tools not covered in Volume I.

Mathematical Statistics 2nd Table of contents:

  1. Chapter I – INTRODUCTION AND EXAMPLES
  2. Chapter 7 – TOOLS FOR ASYMPTOTIC ANALYSIS
  3. Chapter 8 – DISTRIBUTION-FREE, UNBIASED, AND EQUIVARIANT PROCEDURES
  4. Chapter 9 – INFERENCE IN SEMIPARAMETRIC MODELS
  5. Chapter 10 – MONTE CARLO METHODS
  6. Chapter 11 – NONPARAMETRIC INFERENCE FOR FUNCTIONS OF ONE VARIABLE
  7. Chapter 12 – PREDICTION AND MACHINE LEARNING
  8. Appendix D – SOME AUXILIARY RESULTS
  9. Appendix E – SOLUTIONS FOR VOLUME II
  10. REFERENCES
  11. Insert 1

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Tags: Peter Bickel, Kjell Doksum, Mathematical Statistics